There is a common opinion that mathematics is difficult for persons with Down syndrome, because of a weakness in numeracy and in abstract thinking. Since 1996, some single case studies have suggested that new opportunities in mathematics are possible for these students: some of them learned algebra and also learned to use equations in…

A traditional abstract algebra course typically consists of the professor stating and then proving a sequence of theorems. As an alternative to this classical structure, the students could be expected to discover some of the theorems even before they are motivated by classroom examples. This can be done by using a software system to explore a…

This article presents material that has been used as a classroom activity in a calculus-based probability and statistics course. The application was used in the first few lessons of this course. Students had three previous semesters of math, including calculus (single and multivariable), differential equations, and a course in mathematical…

It is clear that school leaders recognize that there has been substantial change in the types of technology available to young people today, most of which adults feel less comfortable about than they do. However, when they are probed further, they come to recognize that it is not just technology that has changed, but pretty much everything else…

Practical instruction of proteomics concepts was provided using high-performance liquid chromatography coupled with a mass selective detection system (HPLC-MS) for the analysis of simulated protein digests. The samples were prepared from selected dipeptides in order to facilitate the mass spectral identification. As part of the prelaboratory…

An nth-term problem involves a sequence. Students must determine which expression will allow them to calculate the nth position of the sequence. To solve such problems, students are to find "a rule that determines the number of elements in a step from the step number." These types of problems help students develop concepts of functions, variables,…

Although science is a creative endeavor (NRC 1996, p. 46), many students think they are not encouraged--or even allowed--to be creative in the laboratory. When students think there is only one correct way to do a lab, their creativity is inhibited. Park and Seung (2008) argue for the importance of creativity in science classrooms and for the…

In many general education classrooms today, teachers are using "reform" mathematics curricula. These curricula emphasize the application of mathematics in real-life contexts and include such practices as collaborative, group problem solving and student-generated algorithms. Students with learning disabilities in the area of mathematics can…

This article describes the author's innovative approach to facilitating students' imaginations and critical thinking through a computer animation project. The author conducted a qualitative case study in a computer animation unit and explored urban high school students' use of creative problem-solving strategies, defined as techniques that offer…

Drawing on experiences from a project conducted in the "Drentsche Aa" area in the Netherlands, this article discusses the concept of the "rural atelier" as a form of problem-based learning. The rural atelier principle was used originally in rural development planning and described as such by Foorthuis (2005) and Elerie and…

High school physics curricula are designed to meet a number of goals, all of which compete for classroom and homework time. The process-oriented goals include the development of skills in problem solving, measurement, analyzing data, and research, particularly in this world of internet based, unfiltered information. Content goals, on the other…

"AASL Standards for the 21st-Century Learner." New standards for library media programs! What does it mean to practicing library media specialists? Does this mean they must abandon all the strategies, activities, and lessons they have developed based upon "Information Power's Information Literacy Standards for Student Learning" and create all new…

To engage students in a real-world issue (Bransford, Brown, and Cocking 2000) that affects their communities, the author designed an entire unit to investigate air pollution in their home state, Connecticut. The unit's goal is to understand how the use of resources, such as fossil fuels, might affect their quality of life. Through this unit,…

Sorting shapes and solving riddles develop and advance children's geometric thinking and understanding while promoting mathematical communication, cooperative learning, and numerous representations. This article presents a brief summary of how children develop an understanding of the properties of geometric shapes as well as a description of the…

This article analyzes the experiences of prospective secondary mathematics teachers during a teaching methods course, offered prior to their student teaching, but involving actual teaching and reflexive analysis of this teaching. The study focuses on the pedagogical difficulties that arose during their teaching, in which prospective teachers…